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MultiDirectionalSimplex (Commons Math 3.2 API)
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org.apache.commons.math3.optim.nonlinear.scalar.noderiv</FONT>
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Class MultiDirectionalSimplex</H2>
<PRE>
<A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</A>
  <IMG SRC="../../../../../../../../resources/inherit.gif" ALT="extended by "><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html" title="class in org.apache.commons.math3.optim.nonlinear.scalar.noderiv">org.apache.commons.math3.optim.nonlinear.scalar.noderiv.AbstractSimplex</A>
      <IMG SRC="../../../../../../../../resources/inherit.gif" ALT="extended by "><B>org.apache.commons.math3.optim.nonlinear.scalar.noderiv.MultiDirectionalSimplex</B>
</PRE>
<DL>
<DT><B>All Implemented Interfaces:</B> <DD><A HREF="../../../../../../../../org/apache/commons/math3/optim/OptimizationData.html" title="interface in org.apache.commons.math3.optim">OptimizationData</A></DD>
</DL>
<HR>
<DL>
<DT><PRE>public class <B>MultiDirectionalSimplex</B><DT>extends <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html" title="class in org.apache.commons.math3.optim.nonlinear.scalar.noderiv">AbstractSimplex</A></DL>
</PRE>

<P>
This class implements the multi-directional direct search method.
<P>

<P>
<DL>
<DT><B>Since:</B></DT>
  <DD>3.0</DD>
<DT><B>Version:</B></DT>
  <DD>$Id: MultiDirectionalSimplex.java 1435539 2013-01-19 13:27:24Z tn $</DD>
</DL>
<HR>

<P>

<!-- ======== CONSTRUCTOR SUMMARY ======== -->

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<TD><CODE><B><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/MultiDirectionalSimplex.html#MultiDirectionalSimplex(double[])">MultiDirectionalSimplex</A></B>(double[]&nbsp;steps)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Build a multi-directional simplex with default coefficients.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/MultiDirectionalSimplex.html#MultiDirectionalSimplex(double[][])">MultiDirectionalSimplex</A></B>(double[][]&nbsp;referenceSimplex)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Build a multi-directional simplex with default coefficients.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/MultiDirectionalSimplex.html#MultiDirectionalSimplex(double[][], double, double)">MultiDirectionalSimplex</A></B>(double[][]&nbsp;referenceSimplex,
                        double&nbsp;khi,
                        double&nbsp;gamma)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Build a multi-directional simplex with specified coefficients.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/MultiDirectionalSimplex.html#MultiDirectionalSimplex(double[], double, double)">MultiDirectionalSimplex</A></B>(double[]&nbsp;steps,
                        double&nbsp;khi,
                        double&nbsp;gamma)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Build a multi-directional simplex with specified coefficients.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/MultiDirectionalSimplex.html#MultiDirectionalSimplex(int)">MultiDirectionalSimplex</A></B>(int&nbsp;n)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Build a multi-directional simplex with default coefficients.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/MultiDirectionalSimplex.html#MultiDirectionalSimplex(int, double)">MultiDirectionalSimplex</A></B>(int&nbsp;n,
                        double&nbsp;sideLength)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Build a multi-directional simplex with default coefficients.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/MultiDirectionalSimplex.html#MultiDirectionalSimplex(int, double, double)">MultiDirectionalSimplex</A></B>(int&nbsp;n,
                        double&nbsp;khi,
                        double&nbsp;gamma)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Build a multi-directional simplex with specified coefficients.</TD>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><B><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/MultiDirectionalSimplex.html#MultiDirectionalSimplex(int, double, double, double)">MultiDirectionalSimplex</A></B>(int&nbsp;n,
                        double&nbsp;sideLength,
                        double&nbsp;khi,
                        double&nbsp;gamma)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Build a multi-directional simplex with specified coefficients.</TD>
</TR>
</TABLE>
&nbsp;
<!-- ========== METHOD SUMMARY =========== -->

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<CODE>&nbsp;void</CODE></FONT></TD>
<TD><CODE><B><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/MultiDirectionalSimplex.html#iterate(org.apache.commons.math3.analysis.MultivariateFunction, java.util.Comparator)">iterate</A></B>(<A HREF="../../../../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateFunction</A>&nbsp;evaluationFunction,
        <A HREF="http://download.oracle.com/javase/6/docs/api/java/util/Comparator.html?is-external=true" title="class or interface in java.util">Comparator</A>&lt;<A HREF="../../../../../../../../org/apache/commons/math3/optim/PointValuePair.html" title="class in org.apache.commons.math3.optim">PointValuePair</A>&gt;&nbsp;comparator)</CODE>

<BR>
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Compute the next simplex of the algorithm.</TD>
</TR>
</TABLE>
&nbsp;<A NAME="methods_inherited_from_class_org.apache.commons.math3.optim.nonlinear.scalar.noderiv.AbstractSimplex"><!-- --></A>
<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#EEEEFF" CLASS="TableSubHeadingColor">
<TH ALIGN="left"><B>Methods inherited from class org.apache.commons.math3.optim.nonlinear.scalar.noderiv.<A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html" title="class in org.apache.commons.math3.optim.nonlinear.scalar.noderiv">AbstractSimplex</A></B></TH>
</TR>
<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html#build(double[])">build</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html#evaluate(org.apache.commons.math3.analysis.MultivariateFunction, java.util.Comparator)">evaluate</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html#getDimension()">getDimension</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html#getPoint(int)">getPoint</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html#getPoints()">getPoints</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html#getSize()">getSize</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html#replaceWorstPoint(org.apache.commons.math3.optim.PointValuePair, java.util.Comparator)">replaceWorstPoint</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html#setPoint(int, org.apache.commons.math3.optim.PointValuePair)">setPoint</A>, <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html#setPoints(org.apache.commons.math3.optim.PointValuePair[])">setPoints</A></CODE></TD>
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<TR BGCOLOR="white" CLASS="TableRowColor">
<TD><CODE><A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</A>, <A HREF="http://download.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long, int)" title="class or interface in java.lang">wait</A></CODE></TD>
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<P>

<!-- ========= CONSTRUCTOR DETAIL ======== -->

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<TABLE BORDER="1" WIDTH="100%" CELLPADDING="3" CELLSPACING="0" SUMMARY="">
<TR BGCOLOR="#CCCCFF" CLASS="TableHeadingColor">
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<B>Constructor Detail</B></FONT></TH>
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</TABLE>

<A NAME="MultiDirectionalSimplex(int)"><!-- --></A><H3>
MultiDirectionalSimplex</H3>
<PRE>
public <B>MultiDirectionalSimplex</B>(int&nbsp;n)</PRE>
<DL>
<DD>Build a multi-directional simplex with default coefficients.
 The default values are 2.0 for khi and 0.5 for gamma.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>n</CODE> - Dimension of the simplex.</DL>
</DL>
<HR>

<A NAME="MultiDirectionalSimplex(int, double)"><!-- --></A><H3>
MultiDirectionalSimplex</H3>
<PRE>
public <B>MultiDirectionalSimplex</B>(int&nbsp;n,
                               double&nbsp;sideLength)</PRE>
<DL>
<DD>Build a multi-directional simplex with default coefficients.
 The default values are 2.0 for khi and 0.5 for gamma.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>n</CODE> - Dimension of the simplex.<DD><CODE>sideLength</CODE> - Length of the sides of the default (hypercube)
 simplex. See <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html#AbstractSimplex(int, double)"><CODE>AbstractSimplex.AbstractSimplex(int,double)</CODE></A>.</DL>
</DL>
<HR>

<A NAME="MultiDirectionalSimplex(int, double, double)"><!-- --></A><H3>
MultiDirectionalSimplex</H3>
<PRE>
public <B>MultiDirectionalSimplex</B>(int&nbsp;n,
                               double&nbsp;khi,
                               double&nbsp;gamma)</PRE>
<DL>
<DD>Build a multi-directional simplex with specified coefficients.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>n</CODE> - Dimension of the simplex. See
 <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html#AbstractSimplex(int, double)"><CODE>AbstractSimplex.AbstractSimplex(int,double)</CODE></A>.<DD><CODE>khi</CODE> - Expansion coefficient.<DD><CODE>gamma</CODE> - Contraction coefficient.</DL>
</DL>
<HR>

<A NAME="MultiDirectionalSimplex(int, double, double, double)"><!-- --></A><H3>
MultiDirectionalSimplex</H3>
<PRE>
public <B>MultiDirectionalSimplex</B>(int&nbsp;n,
                               double&nbsp;sideLength,
                               double&nbsp;khi,
                               double&nbsp;gamma)</PRE>
<DL>
<DD>Build a multi-directional simplex with specified coefficients.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>n</CODE> - Dimension of the simplex. See
 <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html#AbstractSimplex(int, double)"><CODE>AbstractSimplex.AbstractSimplex(int,double)</CODE></A>.<DD><CODE>sideLength</CODE> - Length of the sides of the default (hypercube)
 simplex. See <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html#AbstractSimplex(int, double)"><CODE>AbstractSimplex.AbstractSimplex(int,double)</CODE></A>.<DD><CODE>khi</CODE> - Expansion coefficient.<DD><CODE>gamma</CODE> - Contraction coefficient.</DL>
</DL>
<HR>

<A NAME="MultiDirectionalSimplex(double[])"><!-- --></A><H3>
MultiDirectionalSimplex</H3>
<PRE>
public <B>MultiDirectionalSimplex</B>(double[]&nbsp;steps)</PRE>
<DL>
<DD>Build a multi-directional simplex with default coefficients.
 The default values are 2.0 for khi and 0.5 for gamma.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>steps</CODE> - Steps along the canonical axes representing box edges.
 They may be negative but not zero. See</DL>
</DL>
<HR>

<A NAME="MultiDirectionalSimplex(double[], double, double)"><!-- --></A><H3>
MultiDirectionalSimplex</H3>
<PRE>
public <B>MultiDirectionalSimplex</B>(double[]&nbsp;steps,
                               double&nbsp;khi,
                               double&nbsp;gamma)</PRE>
<DL>
<DD>Build a multi-directional simplex with specified coefficients.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>steps</CODE> - Steps along the canonical axes representing box edges.
 They may be negative but not zero. See
 <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html#AbstractSimplex(double[])"><CODE>AbstractSimplex.AbstractSimplex(double[])</CODE></A>.<DD><CODE>khi</CODE> - Expansion coefficient.<DD><CODE>gamma</CODE> - Contraction coefficient.</DL>
</DL>
<HR>

<A NAME="MultiDirectionalSimplex(double[][])"><!-- --></A><H3>
MultiDirectionalSimplex</H3>
<PRE>
public <B>MultiDirectionalSimplex</B>(double[][]&nbsp;referenceSimplex)</PRE>
<DL>
<DD>Build a multi-directional simplex with default coefficients.
 The default values are 2.0 for khi and 0.5 for gamma.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>referenceSimplex</CODE> - Reference simplex. See
 <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html#AbstractSimplex(double[][])"><CODE>AbstractSimplex.AbstractSimplex(double[][])</CODE></A>.</DL>
</DL>
<HR>

<A NAME="MultiDirectionalSimplex(double[][], double, double)"><!-- --></A><H3>
MultiDirectionalSimplex</H3>
<PRE>
public <B>MultiDirectionalSimplex</B>(double[][]&nbsp;referenceSimplex,
                               double&nbsp;khi,
                               double&nbsp;gamma)</PRE>
<DL>
<DD>Build a multi-directional simplex with specified coefficients.
<P>
<DL>
<DT><B>Parameters:</B><DD><CODE>referenceSimplex</CODE> - Reference simplex. See
 <A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html#AbstractSimplex(double[][])"><CODE>AbstractSimplex.AbstractSimplex(double[][])</CODE></A>.<DD><CODE>khi</CODE> - Expansion coefficient.<DD><CODE>gamma</CODE> - Contraction coefficient.
<DT><B>Throws:</B>
<DD><CODE><A HREF="../../../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</A></CODE> - if the reference simplex does not contain at least one point.
<DD><CODE><A HREF="../../../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</A></CODE> - if there is a dimension mismatch in the reference simplex.</DL>
</DL>

<!-- ============ METHOD DETAIL ========== -->

<A NAME="method_detail"><!-- --></A>
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<A NAME="iterate(org.apache.commons.math3.analysis.MultivariateFunction, java.util.Comparator)"><!-- --></A><H3>
iterate</H3>
<PRE>
public void <B>iterate</B>(<A HREF="../../../../../../../../org/apache/commons/math3/analysis/MultivariateFunction.html" title="interface in org.apache.commons.math3.analysis">MultivariateFunction</A>&nbsp;evaluationFunction,
                    <A HREF="http://download.oracle.com/javase/6/docs/api/java/util/Comparator.html?is-external=true" title="class or interface in java.util">Comparator</A>&lt;<A HREF="../../../../../../../../org/apache/commons/math3/optim/PointValuePair.html" title="class in org.apache.commons.math3.optim">PointValuePair</A>&gt;&nbsp;comparator)</PRE>
<DL>
<DD>Compute the next simplex of the algorithm.
<P>
<DD><DL>
<DT><B>Specified by:</B><DD><CODE><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html#iterate(org.apache.commons.math3.analysis.MultivariateFunction, java.util.Comparator)">iterate</A></CODE> in class <CODE><A HREF="../../../../../../../../org/apache/commons/math3/optim/nonlinear/scalar/noderiv/AbstractSimplex.html" title="class in org.apache.commons.math3.optim.nonlinear.scalar.noderiv">AbstractSimplex</A></CODE></DL>
</DD>
<DD><DL>
<DT><B>Parameters:</B><DD><CODE>evaluationFunction</CODE> - Evaluation function.<DD><CODE>comparator</CODE> - Comparator to use to sort simplex vertices from best
 to worst.</DL>
</DD>
</DL>
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